7L 7s
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Scale structure
Step pattern
LsLsLsLsLsLsLs
sLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
1\7 (171.4¢)
Generator size
Bright
1\14 to 1\7 (85.7¢ to 171.4¢)
Dark
0\7 to 1\14 (0.0¢ to 85.7¢)
Related MOS scales
Parent
none
Sister
7L 7s (self)
Daughters
14L 7s
7L 14s
Equal tunings
Equalized (L:s = 1:1)
1\14 (85.7¢)
Supersoft (L:s = 4:3)
4\49 (98.0¢)
Soft (L:s = 3:2)
3\35 (102.9¢)
Semisoft (L:s = 5:3)
5\56 (107.1¢)
Basic (L:s = 2:1)
2\21 (114.3¢)
Semihard (L:s = 5:2)
5\49 (122.4¢)
Hard (L:s = 3:1)
3\28 (128.6¢)
Superhard (L:s = 4:1)
4\35 (137.1¢)
Collapsed (L:s = 1:0)
1\7 (171.4¢)
| ↖6L 6s | ↑7L 6s | 8L 6s↗ |
| ←6L 7s | 7L 7s | 8L 7s→ |
| ↙6L 8s | ↓7L 8s | 8L 8s↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║│║│║│║│║│║│║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsL
7L 14s
7L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 7 small steps, with a period of 1 large step and 1 small step that repeats every 171.4¢, or 7 times every octave. Generators that produce this scale range from 85.7¢ to 171.4¢, or from 0¢ to 85.7¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
This scale appears as the Whitewood chromatic scale.
| Generator (in steps of edo) | Cents | Step ratio | Comments (Every true-MOS tuning produces a proper scale) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\14 | 85.714 | 85.714 | 1:1 | 1.000 | Equalized 7L 7s | |||||
| 6\77 | 93.506 | 77.922 | 6:5 | 1.200 | ||||||
| 5\63 | 95.238 | 76.190 | 5:4 | 1.250 | ||||||
| 9\112 | 96.429 | 75.000 | 9:7 | 1.286 | ||||||
| 4\49 | 97.959 | 73.469 | 4:3 | 1.333 | Supersoft 7L 7s | |||||
| 11\133 | 99.248 | 72.180 | 11:8 | 1.375 | ||||||
| 7\84 | 100.000 | 71.429 | 7:5 | 1.400 | ||||||
| 10\119 | 100.840 | 70.588 | 10:7 | 1.429 | ||||||
| 3\35 | 102.857 | 68.571 | 3:2 | 1.500 | Soft 7L 7s | |||||
| 11\126 | 104.762 | 66.667 | 11:7 | 1.571 | ||||||
| 8\91 | 105.495 | 65.934 | 8:5 | 1.600 | ||||||
| 13\147 | 106.122 | 65.306 | 13:8 | 1.625 | ||||||
| 5\56 | 107.143 | 64.286 | 5:3 | 1.667 | Semisoft 7L 7s | |||||
| 12\133 | 108.271 | 63.158 | 12:7 | 1.714 | ||||||
| 7\77 | 109.091 | 62.338 | 7:4 | 1.750 | ||||||
| 9\98 | 110.204 | 61.224 | 9:5 | 1.800 | ||||||
| 2\21 | 114.286 | 57.143 | 2:1 | 2.000 | Basic 7L 7s | |||||
| 9\91 | 118.681 | 52.747 | 9:4 | 2.250 | ||||||
| 7\70 | 120.000 | 51.429 | 7:3 | 2.333 | ||||||
| 12\119 | 121.008 | 50.420 | 12:5 | 2.400 | ||||||
| 5\49 | 122.449 | 48.980 | 5:2 | 2.500 | Semihard 7L 7s | |||||
| 13\126 | 123.810 | 47.619 | 13:5 | 2.600 | ||||||
| 8\77 | 124.675 | 46.753 | 8:3 | 2.667 | ||||||
| 11\105 | 125.714 | 45.714 | 11:4 | 2.750 | ||||||
| 3\28 | 128.571 | 42.857 | 3:1 | 3.000 | Hard 7L 7s | |||||
| 10\91 | 131.868 | 39.560 | 10:3 | 3.333 | ||||||
| 7\63 | 133.333 | 38.095 | 7:2 | 3.500 | ||||||
| 11\98 | 134.694 | 36.735 | 11:3 | 3.667 | ||||||
| 4\35 | 137.143 | 34.286 | 4:1 | 4.000 | Superhard 7L 7s | |||||
| 9\77 | 140.260 | 31.169 | 9:2 | 4.500 | ||||||
| 5\42 | 142.857 | 28.571 | 5:1 | 5.000 | ||||||
| 6\49 | 146.939 | 24.490 | 6:1 | 6.000 | ||||||
| 1\7 | 171.429 | 0.000 | 1:0 | → ∞ | Collapsed 7L 7s | |||||